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2021

Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics

Dixon, Lance J., Liu, Yu-Ting, Miczajka, Julian

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We compute all $2\to5$ gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory in the multi-Regge limit that is sensitive to the non-trivial ("long") Regge cut.

We provide the amplitudes through four loops and to all logarithmic accuracy at leading power, in terms of single-valued multiple polylogarithms of two variables.
To obtain these results, we leverage the function-level results for the amplitudes in the Steinmann cluster bootstrap.
To high powers in the series expansion in the two variables, our results agree with the recently conjectured all-order central emission vertex used in the Fourier-Mellin representation of amplitudes in multi-Regge kinematics.

Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics · Around

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